Dissociation of hadrons in quark matter within finite temperature field theory approach on the light front

We present a relativistic three-body equation to investigate the properties of nucleons in hot and dense nuclear/quark matter. Within the light front approach we utilize a zero-range interaction to study the three-body dynamics. The relativistic in-medium equation is derived within a systematic Dyson equation approach that includes the dominant medium effects due to Pauli blocking and self energy corrections. We present the in-medium nucleon mass and calculate the dissociation of the three-body system.Comment: 4 pages, 2 figures. Presented by S. Mattiello at Light-Cone 2004, Amsterdam, 16 - 20 Augus

Derived equivalences induced by nonclassical tilting objects

Suppose that $\mathcal{A}$ is an abelian category whose derived category $\mathcal{D}(\mathcal{A})$ has $Hom$ sets and arbitrary (small) coproducts, let $T$ be a (not necessarily classical) ($n$-)tilting object of $\mathcal{A}$ and let $\mathcal{H}$ be the heart of the associated t-structure on $\mathcal{D}(\mathcal{A})$. We show that the inclusion functor $\mathcal{H}\hookrightarrow\mathcal{D}(\mathcal{A})$ extends to a triangulated equivalence of unbounded derived categories $\mathcal{D}(\mathcal{H})\stackrel{\cong}{\longrightarrow}\mathcal{D}(\mathcal{A})$. The result admits a straightforward dualization to cotilting objects in abelian categories whose derived category has $Hom$ sets and arbitrary products.Comment: The proof of Lemma 1.6 has been modified and the dual of Lemma 1.6 is now contained in the new Remark 1.8, which has been inserted at the end of Section 1. A clarification has been added at the end of the proof of Theorem 1.7. The present paper is going to appear in the Proceedings of the AMS. The authors thank the referee for her/his helpful comments and remark

Restoration of chiral symmetry in light-front finite temperature field theory

We investigate the properties of $qq$ and $q\bar q$ states in hot and dense quark matter in the framework of light-front finite temperature field theory. Presently we use the Nambu Jona-Lasinio model of QCD and derive the gap equation at finite temperature and density. We study pionic and scalar diquark dynamics in quark matter and calculate the masses and the Mott dissociation as a function of the temperature $T$ and the chemical potential $\mu$. For the scalar diquark we determine the critical temperature of color superconductivity.Comment: 4 pages, 3 figures, Presented by S.Strau\ss at Light-Cone 2004, Amsterdam, 16 - 20 Augus

Light front field theory of relativistic quark matter

Light-front quantization to many-particle systems of finite temperature and density provides a novel approach towards a relativistic description of quark matter and allows us to calculate the perturbative as well as the non-perturbative regime of QCD. Utilizing a Dyson expansion of light-front many-body Green functions we have so far calculated three-quark, quark-quark, and quark-antiquark correlations that lead to the chiral phase transition, the formation of hadrons and color superconductivity in a hot and/or dense environment. Presently, we use an effective zero-range interaction, to compare our results with the more traditional instant form approach where applicable.Comment: contribution to Quark Matter 2005, 18th International Conference on Nucleus Nucleus Colisions, 4 pages, 2 figures, hiph-preprint.sty file neede

A classification theorem for t-structures

We give a classification theorem for a relevant class of t-structures in triangulated categories, which includes, in the case of the derived category of a Grothendieck category, a large class of t-structures whose hearts have at most nfixed consecutive non-zero cohomologies. Moreover, by this classification theorem, we deduce the construction of the t-tree, a new technique which generalizesthe filtration induced by a torsion pair. At last we apply our results in the tilting context generalizing the 1-tilting equivalence proved by Happel, Reiten and Smal\uf8. The last section provides applications to classical n-tilting objects, examples of t-trees for modules over a path algebra, and new developments on compatible t-structures

Synthesis and characterization of new D-π-A and A-π-D-π-A type oligothiophene derivatives

In this work we present a series of newly synthesized conjugated oligothiophene derivatives, with different numbers of central thiophene units, and different donor/acceptor architectures. Electrochemical and spectroscopic data have also been reported. We used thiophene or bithiophene as central Donor core units, 3-octylthiophenes as π-bridge and solubilizing sub-units, and ethyl cyanoacetate or rhodanine moieties as Acceptor end groups, in order to get D-π-A and A-π-D-π-A molecular architectures. The length of synthesized oligothiophenes ranges from three to eight thiophene units, a variety that is sufficient to put in evidence different optical and electrochemical as well as semiconducting characteristics. Oligothiophene compounds can be regarded not only as models for the study of structure-property relationships relatives to polythiophenes, but also they present a large number of applications in the field of Organic Electronics (i.e.: as donors in bulk-heterojunction solar cells as well as hole-transporting layer materials in perovskite solar cells, among others)

On tilted Giraud subcategories

Firstly we provide a technique to move torsion pairs in abelian categories via adjoint functors and in particular through Giraud subcategories. We apply this point in order to develop a correspondence between Giraud subcategories of an abelian category C and those of its tilt H(C) i.e., the heart of a t-structure on the derived category D(C)i nduced by a torsion pair